How do you find the slope of the line that passes through (4,-1.5), (4, 4.5)?
1 Answer
Explanation:
To calculate the slope use the
#color(blue)"gradient formula"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
where m represents the slope and# (x_1,y_1),(x_2,y_2)" 2 coordinate points"# The 2 points here are (4 ,-1.5) and (4 ,4.5)
let
# (x_1,y_1)=(4,-1.5)" and " (x_2,y_2)=(4,4.5)#
#rArrm=(4.5-(-1.5))/(4-4)=6/0# Division by zero is undefined hence the slope is undefined.
#color(blue)"Note"# that the x-coordinates of the 2 points are equal, that is both 4. This lets us know that the line is vertical and parallel to the y-axis The slope of the y-axis is undefined.Noting this allows us to state the slope without use of the gradient formula.
graph{y-1000x+4000=0 [-10, 10, -5, 5]}
